New Integral Mean Estimates for the Polar Derivative of a Polynomial
- Авторлар: Qasim I.1
-
Мекемелер:
- Government Girls Higher Secondary School Langate
- Шығарылым: Том 39, № 9 (2018)
- Беттер: 1407-1418
- Бөлім: Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev
- URL: https://journals.rcsi.science/1995-0802/article/view/203479
- DOI: https://doi.org/10.1134/S1995080218090445
- ID: 203479
Дәйексөз келтіру
Аннотация
Let p(z) be a polynomial of degree n and for α ∈ C, let Dαp(z):= np(z) + (α − z)p′(z) denote the polar derivative of the polynomial p(z) with respect to α. In this paper, we obtain certain integral inequalities concerning the polar derivative of a polynomial, which besides yielding some interesting results, also includes some well-known theorems as special cases. Moreover we refine some Zygmund type inequalities for the polar derivative of a polynomial and present compact generalizations of some prior results.
Негізгі сөздер
Авторлар туралы
Idrees Qasim
Government Girls Higher Secondary School Langate
Хат алмасуға жауапты Автор.
Email: idreesf3@gmail.com
Үндістан, Baramulla-Handwara Rd., Langait, 193302